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charle [14.2K]
2 years ago
7

Write the equation through the points (0,9) and (5,13)

Mathematics
1 answer:
rjkz [21]2 years ago
3 0

Answer:

4x-5y+45=0.

Step-by-step explanation:

1) formula is:

\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A};

2) if point A is (0;9) and point B is (5;13), then:

\frac{x}{5} =\frac{y-9}{13-9}; \ => \frac{x}{5} =\frac{y-9}{4}; \ => \ 4x-5y+45=0.

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How many sides does a regular polygon have if the measure of each interior angle is 1600?
Art [367]

Answer:

18 sides

Step-by-step explanation:

with regular polygons it is best to remember that:

(1) all the EXTERIOR angles add up to 3600

(2)  1 exterior angle+1 interior angle =1800

Work with the exterior angles. In this case:

1 int. <=180−160=200

No. of sides =36020=18

7 0
3 years ago
F(x)=(lnx)²/2x<br> give f '(x)=??
Alex73 [517]
f(x)=\frac{(lnx)^2}{2x};\ D_f:x\in\mathbb{R^+}\\\\use:\left[\frac{f(x)}{g(x)}\right]'=\frac{f'(x)g(x)-f(x)g'(x)}{[g(x)]^2}\\\\f'(x)=\frac{[(lnx)^2]'\cdot2x-(lnx)^2\cdot(2x)'}{(2x)^2}=(*)\\\\\ [(lnx)^2]'=2lnx\cdot\frac{1}{x}=\frac{2lnx}{x}\\\\(2x)'=2\\\\(*)=\frac{\frac{2lnx}{x}\cdot2x-(lnx)^2\cdot2}{4x^2}=\frac{4lnx-2(lnx)^2}{4x^2}=\frac{[4lnx-2(lnx)^2]:2}{4x^2:2}=\frac{2lnx-(lnx)^2}{2x^2}
6 0
4 years ago
Read 2 more answers
Which is the equation of the parabola?
Umnica [9.8K]

Answer: y=-\dfrac{1}{8}(x - 2)^2 - 3

<u>Step-by-step explanation:</u>

The vertex form of a parabola is: y = a(x - h)² + k    where

  • (h, k) is the vertex
  • a=\dfrac{1}{4p}  

NOTE: p is the distance from the vertex to the focus

The vertex (h, k) is (2, -3)

p=-2\quad \implies\quad a = \dfrac{1}{4(-2)}=-\dfrac{1}{8}

Insert those values into the vertex formula to get:

y=-\dfrac{1}{8}(x - 2)^2 - 3

4 0
3 years ago
What are the possible values for m and n
Reika [66]

Answer:

m=4

n=-6

The above is just a possible value you can come up with your own :D.

See below for an explanation.

Step-by-step explanation:

Here you are going to really know the exponent rules. But in jest, you basically need to know that m+n=-2 due to exponent rules.

So?

An example would be

m=4

n=-6

Why?

Because 4-6=-2!

5 0
3 years ago
I don’t know which one is
IRINA_888 [86]

i think that it is the third one

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